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Simplifying (11x2 + 8x + -11) + 3(-4x2 + -2x + -2) = 0 Reorder the terms: (-11 + 8x + 11x2) + 3(-4x2 + -2x + -2) = 0 Remove parenthesis around (-11 + 8x + 11x2) -11 + 8x + 11x2 + 3(-4x2 + -2x + -2) = 0 Reorder the terms: -11 + 8x + 11x2 + 3(-2 + -2x + -4x2) = 0 -11 + 8x + 11x2 + (-2 * 3 + -2x * 3 + -4x2 * 3) = 0 -11 + 8x + 11x2 + (-6 + -6x + -12x2) = 0 Reorder the terms: -11 + -6 + 8x + -6x + 11x2 + -12x2 = 0 Combine like terms: -11 + -6 = -17 -17 + 8x + -6x + 11x2 + -12x2 = 0 Combine like terms: 8x + -6x = 2x -17 + 2x + 11x2 + -12x2 = 0 Combine like terms: 11x2 + -12x2 = -1x2 -17 + 2x + -1x2 = 0 Solving -17 + 2x + -1x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 17 + -2x + x2 = 0 Move the constant term to the right: Add '-17' to each side of the equation. 17 + -2x + -17 + x2 = 0 + -17 Reorder the terms: 17 + -17 + -2x + x2 = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -2x + x2 = 0 + -17 -2x + x2 = 0 + -17 Combine like terms: 0 + -17 = -17 -2x + x2 = -17 The x term is -2x. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2x + 1 + x2 = -17 + 1 Reorder the terms: 1 + -2x + x2 = -17 + 1 Combine like terms: -17 + 1 = -16 1 + -2x + x2 = -16 Factor a perfect square on the left side: (x + -1)(x + -1) = -16 Can't calculate square root of the right side. The solution to this equation could not be determined.
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